Answer:
hello the data is missing but it is included in the explanation below
missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
Answer :
A) range = 9 , variance = 8.3015, standard deviation = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
Step-by-step explanation:
A ) calculate the Range, variance and standard deviation
The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
i) Range = difference between largest and smallest values
= 10 -1 = 9
ii) variance = summation of ; (xi − x)^2/n-1
= 207.5385/26−1 ≈ 8.3015
iii) standard deviation = [tex]\sqrt{variance}[/tex]
= [tex]\sqrt{8.3015}[/tex] = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 4545 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, at what mean oil-change time would there be a 10% chance of being at or below? This will be the goal established by the manager. There would be a 10% chance of being at or below nothing minutes. (Round to one decimal place as needed.)
Answer:
The answer is given below
Step-by-step explanation:
The mean (μ) = 21.2 minutes and the standard deviation σ = 3.5 minutes.
the oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M, therefore the sample size n = 45
there be a 10% chance of being at or below. From the normal distribution table, The z score corresponding to a probability of 10% (= 0.1) is -1.28.
z = -1.28
To calculate the mean oil-change time, we use the formula:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }\\\\ Substituting \ values:\\-1.28=\frac{x-21.2}{\frac{3.5}{\sqrt{45} } }\\\\x-21.2=-0.6678\\\\x=-0/6678+21.2\\\\x=20.5[/tex]
given that CFE = CFA, CFB = 68, and EFD = 62, find the measure of AFD HURRY PLEASE, IM TIMED!!!
Answer:
D
Step-by-step explanation:
Answer:
C
Please give brainliest, I explained in the comments
Step-by-step explanation:
i am bad in fraction math. can you please help me. with proper explanation. Thank you!
Answer:
1 - 8/9 + 4/9 = 9/9 -8/9 +4/9 = (9-8+4)/9 = 5/9
Step-by-step explanation:
Answer:
The answer is 5/9.
Step-by-step explanation:
First, you have to make all the denorminator of the fractions the same by multultiplying :
[tex]1 - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{1}{ 1} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{1 \times 9}{1 \times 9} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]
Next, you have to make it into 1 fraction and simplify :
[tex] \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{9 - 8 + 4}{9} [/tex]
[tex] = \frac{5}{9} [/tex]
Can someone help me
10 pts
Answer:
x=7
Step-by-step explanation:
If BD is the bisector, then ABD = DBC
3x-1 = 34-2x
Add 2x to each side
3x-1+2x = 34-2x+2x
5x-1 =34
Add 1 to each side
5x-1+1 = 34+1
5x= 35
Divide by 5
5x/5 = 35/5
x = 7
One advantage to using your debit card is: A:You don’t have to subtract it from your checking account balance B: It is convenient C:You can spend as much as you want D:You can give your friend the PIN number in case you forget it. Plz help me
Answer:
B.
Step-by-step explanation:
First, you never want to give out your banking information to anyone, so D is incorrect. A is incorrect because a debit card withdraws money from your checking account to pay for items you purchase. C is also incorrect because you can only spend the same amount of money in your checking account.
The graph of the equation y=-2 is a line Explain your answer 1) parallel to the x-axis 2)parallel to the y-axis 3)passing through the origin 4) passing through the point (-2,0)
Answer:
Parallel to the x-axisStep-by-step explanation:
Given the graph of the equation y = -2. To determine how the line will look like on Cartesian plane, first we must understand the following;
The standard form of equation of a line is y = mx+c where m is the slope and c is the intercept. Comparing this standard form to the given equation shows that the equation is in slope-intercept form.
It can also written as y = 0x-2. This shows that slope m = 0 and the y-intercept c = -2. The graph can be graphed as y = 0x-2
The line will be an horizontal line drawn on the negative y-axis at the coordinate x = 0 and y = -2. The line will therefore be parallel to the x axis
Check the attachment for the graph.
The graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis
A graph is a pictorial representation of data or values in a well - organized manner.
The graph of the equation passes through a point [tex]\boldsymbol{(a,b)}[/tex] if it satisfies it.
The graph of the equation of the form [tex]\boldsymbol{x=a}[/tex] is parallel to the [tex]\boldsymbol{y-}[/tex]axis.
The graph of the equation of the form [tex]\boldsymbol{y=a}[/tex] is parallel to the [tex]\boldsymbol{x-}[/tex]axis.
So, the graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis
Option 1) is correct.
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The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of water in the pool. The pool is empty after 70 minutes.
Hi,
it'took 70 minutes to empty the pool.
After 20 it's stay 45 000 litres. So in 50 minutes, 45 000 litres are gone.
So : 45 000 / 50 = 4500/5 = 9*5 *100 /5 = 900
900 litres is off every minute.
So the pool contained : 900 *70 = 63 000 litres in the beginning.
14. What is the percent decrease on a DVD recorder that is marked down from $400 to $350?
1. 87.5%
2. 20%
3. 12.5%
5. 14.29%
Answer:
12.5%
Step-by-step explanation:
Percent decrease is calculated as
[tex]\frac{decrease}{original}[/tex] × 100%
Decrease = $400 - $350 = $50 , thus
percent decrease = [tex]\frac{50}{400}[/tex] × 100% = [tex]\frac{50(100)}{400}[/tex] = 12.5%
The percent decrease on a DVD recorder that is 12.5%. The correct option is 3
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
let the value of which a thing is represented in percentage is "a'
let the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), therefore we will first divide the whole part in 100 parts and then we multiply it with b so that we can get b items per 100 items(that is exactly what b per cent means).
Hence, that thing in number is
(a/100)x b
Percent decrease is calculated as;
Decreased in price/original price × 100%
Decrease = $400 - $350 = $50 , thus
Therefore, percent decrease = 50/400 × 100%
= 12.5%
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15. Find the lengths of major and minor arcs AB correct to the tenth of a cm. The minor
arc AB has a central angle which measure 85°.
(3marks)
859
Las funciones trigonométricas se utilizan fundamentalmente en la solución de triángulos
rectángulos, recordando que todo triángulo rectángulo tiene un ángulo de 90° y sus ángulos
interiores suman 180°. La notación que se acostumbra es la siguiente.
What is the surface area of the right cone below?
Answer: D) 339 sq. units
Step-by-step explanation:
see attachment
Which number is the opposite of -3? Starting at -3, how many steps does it take to get to the opposite of -3? What does this number of steps represent?
Answer:
3
Step-by-step explanation:
The Absolute value of -3 is 3 because it's the distance away from 0. Both have the same distance away from 0.
The opposite number of the integer number negative 3 will be 3.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The number that produces zero when multiplied by an is known as the additive inverse of a number, or a, in arithmetic. The opposite, a shift in the sign, and negation are other names for this number.
The number is given below.
⇒ - 3
The opposite of the number negative 3 will be given as,
⇒ - (-3)
⇒ 3
The opposite number of the integer number negative 3 will be 3.
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solve for x. Write both solutions, separated by a comma. 9x^2-6x-8=0 please help me
Answer:
(-0.667,0), & (1.333,0)
Step-by-step explanation:
The equation creates two parallel lines on a graph that both have x-intercepts of (-0.667,0) & (1.333,0). So x = (-0.667,0), (1.333,0).
Hopefully this helps & gets brainliest.
PLZZZZZ HLPPPPP MEEEEEEEEEE NOW <3
Answer:
[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]
Step-by-step explanation:
The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:
[tex]y - k = C\cdot (x-h)^{2}[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex with respect to origin, dimensionless.
[tex]C[/tex] - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).
Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:
[tex]C = 1[/tex]
After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:
[tex]V(x,y) = (-3,-2)[/tex]
The standard form of the blue parabola is [tex]y+2 = (x+3)^{2}[/tex]. Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):
[tex]y + 2 = x^{2} +6\cdot x + 9[/tex]
[tex]y = x^{2} + 6\cdot x + 7[/tex]
Then, the blue parabola is represented by the following equations:
[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]
What is the domain and range ?
Answer:
Domain is [-4, 4]
Range is [0, 4]
Step-by-step explanation:
Domain is the fancy name for the values of x that works for the graph (input), in this case, from -4 to 4, inclusive.
Range is the fancy name for the values of y that works for the graph (output), in this case, from 0 to 4, inclusive.
Please answer this in two minutes
Answer:
Tan(x) = 1/[tex]\sqrt{3}[/tex]
We know that Tan 30 = 1/[tex]\sqrt{3}[/tex]
Therefore, x = 30 degrees
The figure is not trying to scale. PQ and MN are straight lines. Find X
how to do this question plz
Answer:
Step-by-step explanation:
surface area of two trapezoids=2[(12+8)/2×3]=2[30]=60 cm²
surface area of side rectangles=10×8+10×12=10(8+12)=200 cm²
surface area of top=10×5=50 cm²
surface area of bottom=10×3=30 cm²
Total surface area=60+200+50+30=340 cm²
Answer:
Step-by-step explanation:
to find the surface area , you need to find the area of each side(face)
top: 5*10=50
the bottom of the shape: 3*10=30
the front face:10*8=80
the sides are trapezoid shapes with:different dimensions:
side :8,12 and eight of 3 ( the shape has 3 faces the same)
area=((12+8)/2)*3= 30 (30*3 faces or sides)
add the numbers: 50+30+80+(30*3)=250 cm^2
I hope it is right and good luck
Jan threw a javelin. h(d) the height of the tip of the javelin (in meters) as a function of its horizontal distance (in meters) d from the throwing arc. Match each statement with the feature of the graph that most closely corresponds to it.
Answer:
x - intercept -> Jan threw the javelin to a distance of 90 meters
relative maximum or minimum -> the highest point the javelin reached was 14 meters above the ground
increasing or decreasing interval -> Jan threw the javelin a distance of 90 meters
Step-by-step explanation:
x - intercept is where y = 0. Check where y is 0. At x = 90. Meaning it's Jan threw the javelin to a distance of 90 meters
relative maximum or minimum -> there is only a maximum on the graph, look at how the points never go down and back up, but rather up then down.
increasing or decreasing interval is basically just the interval or the x values and they go to 90 so..
What is the area of the trapezoid?
30 square units
60 square units
90 square units
120 square units
Answer:
60 square units
Step-by-step explanation:
We can bound the trapezoid with a rectangle having opposite corners at (4, 6) and (16, 16). This rectangle will have an area of (16 -4)(16 -6) = 120 square units.
From this bounding rectangle we can subtract the areas of the corner triangles. Their x-y extents (CW from upper left) are ...
(10×6), (2×6), (6×4), (6×4)
Their areas are half the product of these base×height dimensions, so the triangles have a total area of ...
(1/2)(60 +12 +24 +24) = 60
Then the area of the trapezoid is the difference of the area of the bounding rectangle and the area of the corner triangles:
trapezoid area = 120 -60 = 60 . . . . square units
The side lengths of a square are each 3p. By adding 5 to the length and subtracting 5 from the width, a rectangle is made. What is the area of the rectangle?
Answer:
A = 9p² - 25
Step-by-step explanation:
The side lengths were 3p. 5 was added to the length and subtracted from the width. This means that
l = 3p + 5
w = 3p - 5
Plug these values into the formula for the area of a rectangle.
A = lw
A = (3p + 5)(3p - 5)
A = 9p² - 25
The area of the rectangle is 9p² - 25.
Solve the system of equations by substitution.
2m - 7n = -18.5
m = 10 - 2n
HELP ME WITH THIS IMPROPER FRACTION QUESTION pls
Answer:
(a) [tex]4\frac{1}{5}[/tex]
(b) [tex]7\frac{7}{24}[/tex]
Step-by-step explanation:
One way of operating with mixed numbers is to first convert them into improper fractions, and operate with them following the simple rules of fraction multiplication, and at the end convert the answer into mixed number.
(a) For this operation let's first convert [tex]5\,\frac{2}{5}[/tex] into an improper fraction:
[tex]5\frac{2}{5} =5+\frac{2}{5} =\frac{25}{5} +\frac{2}{5} =\frac{27}{5}[/tex]
Now perform the requested operation:
[tex]\frac{7}{9} \,*\,\frac{27}{5} =\frac{189}{45} =\frac{21}{5} =4\frac{1}{5}[/tex]
(b) Start by converting both mixed numbers into improper fractions and then operate as indicated:
[tex]1\frac{3}{4} =\frac{4+3}{4} =\frac{7}{4} \\4\frac{1}{6} =\frac{24+1}{6} =\frac{25}{6}[/tex]
[tex]\frac{7}{4} *\frac{25}{6} =\frac{175}{24} =7\frac{7}{24}[/tex]
Which graph represents the solution set of the system of inequalities?
y < 2/3x
Y>-x+2
Answer:
I attached it.
Step-by-step explanation:
This is the graph.
13. Fill in this diagram so that each of the rows, columns and
diagonals adds to 18.
What is the sum of all the corner numbers?
(A) 20
(B) 22
(C) 23
(D) 24
(E) 25
Answer:
D. 24
Step-by-step explanation:
Let's name the diagram
Row 1: a1, a2, a3
Row 2: b1, b2, b3
Row 3: c1, c2, c3
From the diagram,
b2 and c2 have been given
All rows, columns and diagonal must sum up to 18
If b2=6 and c2=4
a2=18-(6+4)
=18-10
=8
a2=8
Assume a1=4
Diagonals a1+b3+c3=18
4+6+c3=18
10+c3=18
c3=18-10
=8
Assume a3=6
Diagonals a3+b2+c1=18
6+6+c1=18
12+c1=18
c1=18-12
=6
So b1=18-(6+4)
=18-10
=8
b1=8
b3=18-(6+8)
=18-14
=4
b3=4
Input all the numbers into the boxes
We have,
4 8 6
8 6 4
6 4 8
Corner numbers are a1,a3,c1,c3
=4,6,6,8
Sum of all the corner numbers=4+6+6+8
=24
D. 24
Sam is two times Sydey's
their combined
age is 36. What is Sydney's age.
Answer:
12 years old
Step-by-step explanation:
Let's call Sydney's age x and Sam's age 2x. We can write:
x + 2x = 36
3x = 36
x = 12 so the answer is 12 years old.
The Venn diagram shows event A and event B comprised of outcomes from the same sample space. The probability of event A is given, as well as the probability of neither event A nor event B. What is the probability of event B?
Answer:
D 0.6
Step-by-step explanation:
plato/edmentum
Answer: 0.6
Step-by-step explanation:
Peggy has twice as many apples as kiwis, and three times as many pears as apples. How many pears does she have, if she has 72 apples, kiwis and pears all together?
Answer:
Let's do this step by step
Since there are 72 apples, the pears are 3 times as much. So multiply by 3
[tex]72 * 3=216[/tex]
So there would be 216 pears.
Now for Kiwis
They are 2 times as much, Multiply by 2
[tex]72 *2=144[/tex]
All together with the kiwi and the pears are
[tex]216+144=360[/tex]
And all the fruits together it would be
432
Hope this helps
Answer by
Fishylikeswater
The number of pears, apples and kiwis Peggy has is 216, 72 and 144 respectively.
How many pears does she have?Number of apples = 72 apples
Number of kiwis = 2 × 72
= 144 kiwis
Number of pears = 72 × 3
= 216 pears
Therefore, Peggy has 144 kiwis
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In the figure, angle A measures 45° and angle E measures 15°.
The measurement of angle C is___
The measurement of angle D is___
Answer:
m<C = 45
m<D = 30
Step-by-step explanation:
m<A + m<B + m<C = 180
45 + 90 + m<C = 180
m<C = 45
m<E + m<A = 60
60 + 90 + m<D = 180
m<D = 30
If (x + 2) is a factor of x3 − 6x2 + kx + 10, k
Answer:
k = -11
Step-by-step explanation:
Let [tex]p(x) = x^3-6x^2+kx+10[/tex]
And x+2 is a factor of p(x)
Let x+2 = 0 => x = -2
Putting in p(x)
=> p(-2) = [tex](-2)^3-6(-2)^2+k(-2)+10[/tex]
By remainder theorem, Remainder will be zero
=> 0 = -8-6(4)-2k+10
=> 0 = -8-24+10-2k
=> 0 = -22-2k
=> -2k = 22
Dividing both sides by -2
=> k = -11
I need help for this question I’m stuck
Answer:
g=6
Step-by-step explanation:
We can start by multiplying both sides by 2
5(3g+2)=100
Now we can distribute the 5 by using the distributive property
15g+10=100
Then we subtract 10 from both sides
15g=90
Divide both sides by 15
g=6
Answer:
6
Step-by-step explanation:
5(3g + 2)/2 = 50 Multiply both sides by 2
5(3g + 2) = 50*2 = 100 Remove the brackets
15g + 10 = 100 Subtract 10 ***
15g+10-10 = 100 - 10 Collect like terms.
15g = 90 Divide by 15 ***
15g/15 = 90/15
g = 6
I don't know how to cut this down so that it requires only 2 steps. I guess that the two steps marked with *** are the 2 I would choose.